Transformation of the integral ∫ F (r, r′, \r < sup > → < /sup > - R < sup > → < /sup > ′|) dr < sup > → < /sup > dr < sup > → < /sup > ′ using Hylleraas coordinates in N-dimensions

Abstract

The integral ∫ F (r, r′, r - r′|) dr dr′ where r and r′ are N -dimensional position vectors can be transformed into a simple three-dimensional integral using Hylleraas coordinates. A simple derivation of this result is presented. © 2006 NRC Canada.